2. On a cool autumn evening of 70 degrees Fahrenheit, Detective Albert Gebra is investigating a murder/crime scene. Al assumes that the victim had a normal body temperature of 98.6 degrees Fahrenheit when he died (at time m = 0) and Al finds that the body cooled from 85.7 degrees to 81.3 degrees in 11 minutes.(a) Use this information to find the constants in the function and clearly state your complete model. You may use the nspire to solve any algebraic equation as long as the equation that you are solving is clearly identified.(b) If at 9:48 PM the body temperature was taken to be 78.4 degrees, use your model to estimate the time of death. Show all steps.

Given Information:Surrounding Temperature at the evening is .At time , the body temperature when he…

Answered: On a cool autumn evening of 70 degrees…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A small town is known to grow its population at a rate proportional to the population at any time. After 1.8years. 524 people were recorded to be the population of the town; and after 4.5 years, it increases to 3.035.Find the original approximate population of the town.
A frozen pizza has a temperature of 28 degrees F and is placed into a 70 degree F room. After 10 minutes, the temperature of the pizza has risen to 35 degree F. Use newton's law of cooling to find the function that models the pizza's temperature T as a function of time t. what will the pizza's temperature be after 30 minutes. when will the pizza's temperature reach 60 degrees F.
The number of daily users for Japan’s Line messaging service (in millions) can be approximated by the function g(x)=53.1+63.1ln(x) corresponds to the first quarter of 2013. Numbering quarters from that date, and assuming the model remains accurate, find the first full quarter in which the number of users exceeded 200 million.
At the start, an experiment records 1 gram of bacterial culture, and the culture's weight is believed to have a carrying capacity of 12 grams. (6.1) Find a model for the weight of the bacterial culture as a function of time t. (6.2) If, after 4 hours, the culture weighs 8 grams, find the weight after 10 hours.
The worst ecological disaster in U.S. history began on April 20, 2010, and was caused by an explosion in the oil rig Deepwater Horizon, which resulted in the deaths of 11 people and triggered a massive oil spill into the Gulf of Mexico. Estimates of the exact amount of the oil spilled vary based on the source, but it is clearly a function of the number of days n it lasted and the leak rate of the oil, estimated by the United States Geological Service (USGS) to be 504,000 gallons each day! The function u that estimates the amount of oil spilled in n days can be defined as u(n) = 504,000n gallons/day. To find out how much oil spilled the first month (30 days), let n = 30: u(30) = 504,000 (30) U.S. Coast Guard photo a(n) : According to BP's worse-case scenario, the amount of oil spilled in n days can be estimated by the function b(n) = 2.520n million. gallons, while the function r(n) = 441,000n gallons represents the amount of oil that can be recovered in n days. (a) The function a(n) =…
The U.S. population can be modeled by the function y=165.6x¹.345, where y is in thousands and x is the number of years after 1800. (a) What was the population in 1970, according to this model? (b) is the graph of this function concave up or concave down? What does this mean? (c) Use numerical or graphical methods to find when the model estimates the population was 94,150,000. (a) According to the model, the population in 1970 was thousands. (Round to the nearest integer as needed.)
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Vinu
In a certain culture, an initial population of 6000 bacteria grows to 9000 bacteria after 20 minutes. (a) Determine the function n(t)=n0ert that models the number of bacteria after t minutes. (b) How many bacteria are present after 2 hours?
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